广义切比雪夫带通滤波器耦合矩阵的综合

发布时间：2018-01-25 04:43

本文关键词： 广义切比雪夫传输零点耦合矩阵交叉耦合双通带滤波器　出处：《安徽大学》2016年硕士论文　论文类型：学位论文

【摘要】：微波滤波器作为无线通信系统中关键性器件,对其设计理论的研究,一直伴随着微波通信技术和通信系统的发展。步入信息时代以来,无线通信的发展迈上了一个新的台阶；通信频率在不断提高,空间电磁环境趋于复杂,而且随着移动通信终端如移动电话的普及,以及物联网技术的推进,全面考验着通信系统和通信备。而微波滤波器的性能往往影响着整个系统的信号传输质量,这使得对于微波滤波器的要求趋于严苛,需要其体积更小、频率选择性更高、带内插损和回波损耗更小等。这给滤波器设计带来了难度。而采用耦合矩阵综合的方法,可以根据期望构建滤波器,设计过程清晰、便捷、快速且准确。此外,基于前期的数学分析计算,使得在设计后期的调试工作量明显减少。而交叉耦合的引进,能在特定频点引入传输零点,并使滤波器的性能得到大幅度提高,并减小其体积。本文主要针对广义切比雪夫滤波器的设计的整个过程加以分析,做出以下工作：一、介绍滤波器的基本概念和微波滤波器的基本理论,通过引入二端口网络矩阵,从数学上分析滤波器的频率响应和各项参数指标,介绍切比雪夫滤波器的低通原型和低通原型到带通滤波器的频率变换方法。二、引入广义切比雪夫滤波器的综合理论,并详细推导"N×N”和“N+2”耦合矩阵的综合过程,包括特征多项式的求解；耦合矩阵的提取；以及拓扑结构的选用和耦合矩阵的化简。并采用Matlab对以上整个设计过程进行编程,实现耦合矩阵综合的程序化,大大简化了设计过程中理论计算。三、基于广义切比雪夫滤波器的基础理论,引入并分析双通带滤波器耦合矩阵的综合。通过频率变换法,推导了传统对称双通带滤波器耦合矩阵；外加零点式对称双通带滤波器耦合矩阵；以及非对称双通带滤波器耦合矩阵的综合设计。并对整个过程实现编程设计。四、在总结以上理论的基础上,设计并分析了基于“N+2”耦合矩阵的双通带滤波器,并采用ADS (Advanced Design System)和Ansoft HFSS软件对设计进行模拟和优化。最后,设计一款广义切比雪夫双通通滤波器,从而验证相关理论的正确性。
[Abstract]:Microwave filter is the key device in wireless communication system. The research of its design theory has been accompanied by the development of microwave communication technology and communication system. The development of wireless communication has reached a new level; With the increasing of communication frequency, the space electromagnetic environment tends to be complex, and with the popularity of mobile communication terminals such as mobile phones, and the advance of Internet of things technology. The performance of microwave filter often affects the signal transmission quality of the whole system, which makes the requirements of microwave filter become more stringent, and the size of microwave filter is smaller. The frequency selectivity is higher, the band interpolation loss and the echo loss are smaller, which brings difficulty to the filter design. The coupling matrix synthesis method can construct the filter according to the expectation, the design process is clear and convenient. In addition, based on the previous mathematical analysis and calculation, the debugging work in the late design period is obviously reduced, while the cross-coupling introduction can introduce transmission 00:00 at a specific frequency point. The performance of the filter is greatly improved and its volume is reduced. In this paper, the whole design process of the generalized Chebyshev filter is analyzed, and the following work is done: 1. The basic concept of filter and the basic theory of microwave filter are introduced. By introducing the two-port network matrix, the frequency response and parameters of the filter are analyzed mathematically. The low pass prototype of Chebyshev filter and the frequency conversion method from low pass prototype to bandpass filter are introduced. Secondly, the synthesis theory of generalized Chebyshev filter is introduced. The synthesis process of "N 脳 N" and "N _ 2" coupling matrix is deduced in detail, including the solution of characteristic polynomial. Extraction of coupling matrix; And the selection of topological structure and the simplification of coupling matrix. The whole design process is programmed by Matlab to realize the programming of coupling matrix synthesis. It greatly simplifies the theoretical calculation in the design process. Thirdly, based on the basic theory of generalized Chebyshev filter, the coupling matrix synthesis of double pass band filter is introduced and analyzed. The coupling matrix of traditional symmetric double pass band filter is derived. Coupled matrix of 00:00 symmetric double pass band filter; And asymmetric double pass band filter coupling matrix synthesis design. And the entire process of programming design. 4, on the basis of summing up the above theory. A dual-pass band filter based on "N2" coupling matrix is designed and analyzed. ADS Advanced Design system and Ansoft HFSS software are used to simulate and optimize the design. Finally. A generalized Chebyshev double pass filter is designed to verify the correctness of the related theory.
【学位授予单位】：安徽大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：TN713.5

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